Purpose: The heat transport phenomenon in which energy transfers due to temperature differences is an important topic of interest for scientists in recent times. It is because of its wide range of applications in numerous domains such as electronics, heat dispersion, thermoregulation, cooling mechanism, the managing temperature in automotive mobile engines, climate engineering, magnetoresistance devices, etc. On account of such considerations, the magnetohydrodynamic (MHD) entropy rate for nanomaterial (CoFe₂O₄/C₂H₆O₂) and hybrid nanomaterial (CoFe₂O₄+MoS₄/C₂H₆O₂) is analyzed. The Darcy–Forchheimer relation is utilized to describe the impact of a porous medium on a stretched sheet. Two nanoparticles molybdenum (MoS₄) and cobalt ferrite (CoFe₂O₄) are combined to make hybrid nanomaterial (CoFe₂O₄+MoS₄/C₂H₆O₂). Heat flux corresponds to the Cattaneo–Christov model executed through heat transfer analysis. The influence of dissipation and heat absorption/generation on energy expression for nanomaterial (CoFe₂O₄+MoS₄/C₂H₆O₂) and hybrid nanomaterial (CoFe₂O₄+MoS₄/C₂H₆O₂) is described.Design/methodology/approach: Nonlinear partial differential expressions have been exchanged into dimensionless ordinary differential expressions using relevant transformations. Newton’s built-in shooting method is employed to achieve the required results.Findings: Concepts of fluid flow, energy transport and entropy optimization are discussed. Computational analysis of local skin friction and Nusselt number against sundry parameters for nanomaterial (CoFe₂O₄/C₂H₆O₂) and hybrid nanomaterial (CoFe₂O₄+MoS₄/C₂H₆O₂) is engrossed. Larger magnetic field parameters decay fluid flow and entropy generation, while an opposite behavior is observed for temperature. Variation in magnetic field variables and volume fractions causes the resistive force to boost up. Intensification in entropy generation can be seen for higher porosity parameters, whereas a reverse trend follows for fluid flow. Heat and local Nusselt numbers rise with an increase in thermal relaxation time parameters.Originality/value: No such work is yet published in the literature.

After applying a magnetic field, the behavior of the partly ionized liquids is completely different from that of the ordinary fluids. In the current study, we concentrated on the Cattaneo-Christov heat flux model-based three-dimensional partly ionized bioconvective flow of a second order fluid on a bidirectional permeable stretching surface. The development of the thermal and solutal flow models takes into account the impacts of non-uniform sources and sinks, Ohmic viscous dissipation, and chemical reactions. In addition, the surface boundary effects of electron and ion collisions with convective boundary conditions are seen. The mathematical flow model is transformed appropriately to create an ODE, which is then numerically solved with MATLAB's Bvp4c approach. To demonstrate the physical relevance of the flow field along various developing parameters, graphical and tabular results are created. It's noteworthy to note that while fluid temperature decreases with stronger values of the 2^nd order fluid parameter, fluid velocity improves in both directions. In addition, it is shown that raising the thermal and concentration relaxation parameters, respectively, causes a drop in the fluid temperature and nanoparticle concentration.

The diverse use of heat and mass transport mechanisms on three-dimensional rotating systems has been discovered to improve the efficiency of several physiological and industrial processes. These include, for example, fiber technology, the process of extrusion, and polymer extraction. The purpose of this dissertation is to investigate the transportation of mass and heat in the flow of non-Newtonian fluid processing vortex viscosity and micro-inertial features along two horizontal plates in a rotating scenario. The thermal transport process is influenced by physical parameters such as irregular heat generation/absorption rate, linear radiative heat flow, variable thermal conductivity, and mass diffusion with cubic autolysis chemical reaction. After enforcing conservation laws, a simple constitutive equations are modelled in a rotating system. The mathematical formulation is converted into a dimensionless format by applying comparable variables. The bvp4c process is used to execute numerical experiments to arrive at the numerical solution for the governing problem. Through sketching, the related distribution (velocity, micro rotation, velocity, and concentration) is presented concerning the various parameters. Tabular data provides insights into relevant quantities against different parameters. The credibility of computed results is assumed by agreeing with previous studies.